All categories

3 years ago

NEED NOW!!! Find the value of each variable in the diagram given that a ∥ b.

Mathematics

1 answer:

wolverine [178]3 years ago

5 0

Answer:

W = Z = 180- 130 = 50

y = 30/2 = 15

x = 180 - 50 - (2x15) = 100

Step-by-step explanation:

W = Z = 180- 130 = 50

y = 30/2 = 15

x = 180 - 50 - (2x15) = 100

You might be interested in

The length of a sticky note measures 77 mm express this length in meters

katen-ka-za [31]

If a sticky note measures 77mm then when converted into meters it is 0.077

8 0

3 years ago

Read 2 more answers

Decimals between 4.2 and 5.4 with an interval of 0.3 between each pair of decimals

tatiyna

Answer:

Step-by-step explanation:

4 0

2 years ago

The ratio of Wei Ling's age to Wei Xuan's age 5 years ago was 2: 5. In 9 years

Archy [21]

Answer:

15 years old

Step-by-step explanation:

Start by defining the variables that we are going to use throughout our working:

Let the current age of Wei Ling and Wei Xuan be L and X years old respectively.

Next, form equations using the given information.

5 years ago

Wei Ling: (L -5) years old

Wei Xuan: (X -5) years old

Given that the ratio of Wei Ling's age to that of Wei Xuan's is 2: 5,

$\frac{ L - 5}{X - 5} = \frac{2}{5}$

Cross multiply:

2(X -5)= 5(L -5)

Expand:

2X -10= 5L -25

2X= 5L -25 +10

2X= 5L -15 -----(1)

9 years time

Wei Ling: (L +9) years old

Wei Xuan: (X +9) years old

Given that the ratio of Wei Ling's age to that of Wei Xuan is 3: 4,

$\frac{L + 9}{X + 9} = \frac{3}{4}$

Cross multiply:

3(X +9)= 4(L +9)

Expand:

3X +27= 4L +36

3X= 4L +36 -27

3X= 4L +9 -----(2)

Let's solve using the elimination method.

(1) ×3:

6X= 15L -45 -----(3)

(2) ×2:

6X= 8L +18 -----(4)

(3) -(4):

6X -6X= 15L -45 -(8L +18)

0= 15L -45 -8L -18

0= 7L -63

7L= 63

L= 63 ÷7

L= 9

Substitute L= 9 into (1):

2X= 5(9) -15

2X= 45 -15

2X= 30

X= 30 ÷2

X= 15

Thus, Wei Xuan is 15 years old now.

6 0

2 years ago

I need help with this....

Vanyuwa [196]

Answer: x=4

Step-by-step explanation:

because 5x2=10 since there are 5 boxes and you subtract 10 from 30 so you get 20 and then you divide 20 by 5 for each box and get 4

(4+2)x5=30

hope this helps

6 0

2 years ago

Read 2 more answers

Rachel is a financial investor who actively buys and sells in the securities market. Now she has a portfolio of all blue chips,

Arturiano [62]

Answer:

(a) 41300 (b) 8.10 % (c) 3.41% (at real rates)

Step-by-step explanation:

Solution

Given:

(a) The Weights of assets in Rachel's portfolio: = amount in each stock/ sum of amounts invested in all stocks

Share Amount Weights

A 13500 0.33

B 7600 0.18

C 14700 0.36

D 5500 0.13

THE TOTAL: 41300

(b) The Geometric average return of a portfolio = ((1+R1)*(1+R2)*(1+R3)....*(1+Rn))^(1/n) - 1

Now,

R1= return of period 1 Rn= return in nth period

Thus,

The Geometric average return of Rachel's portfolio= ((1+9.7%)*(1+12.4%)*(1-5.5%)*(1+17.2%))^(1/4) - 1

= 8.10 % (approx) per year.

The CAPM: Required return= Risk free return + (Risk premium * Beta)

13.6 = Rf + (4.8*1.5)

So,

Rf= 6.4% (not inflation adjusted)

The inflation adjusted rate of return: ((1+return)/(1+inflation rate))-1

= ((1+13.6%)/(1+2.7%))-1 = 10.61%

Using CAPM: 10.61= Rf + (4.8*1.5)

Therefore, Rf= 3.41% (at real rates)

8 0

3 years ago